#include "stdafx.h"

/*  -- translated by f2c (version 19940927).
   You must link the resulting object file with the libraries:
	-lf2c -lm   (in that order)
*/

#include "hnum_f2c.h"
namespace harlinn
{
    namespace numerics
    {
        namespace SuperLU
        {
            /* Subroutine */ 
            int zhemv_(char *uplo, integer *n, doublecomplex *alpha, 
	            doublecomplex *a, integer *lda, doublecomplex *x, integer *incx, 
	            doublecomplex *beta, doublecomplex *y, integer *incy)
            {


                /* System generated locals */
                integer a_dim1, a_offset, i__1, i__2, i__3, i__4, i__5;
                doublereal d__1;
                doublecomplex z__1, z__2, z__3, z__4;

                /* Builtin functions */
                void d_cnjg(doublecomplex *, doublecomplex *);

                /* Local variables */
                static integer info;
                static doublecomplex temp1, temp2;
                static integer i, j;
                    
                static integer ix, iy, jx, jy, kx, ky;
                    


            /*  Purpose   
                =======   

                ZHEMV  performs the matrix-vector  operation   

                    y := alpha*A*x + beta*y,   

                where alpha and beta are scalars, x and y are n element vectors and   
                A is an n by n hermitian matrix.   

                Parameters   
                ==========   

                UPLO   - CHARACTER*1.   
                            On entry, UPLO specifies whether the upper or lower   
                            triangular part of the array A is to be referenced as   
                            follows:   

                            UPLO = 'U' or 'u'   Only the upper triangular part of A   
                                                is to be referenced.   

                            UPLO = 'L' or 'l'   Only the lower triangular part of A   
                                                is to be referenced.   

                            Unchanged on exit.   

                N      - INTEGER.   
                            On entry, N specifies the order of the matrix A.   
                            N must be at least zero.   
                            Unchanged on exit.   

                ALPHA  - COMPLEX*16      .   
                            On entry, ALPHA specifies the scalar alpha.   
                            Unchanged on exit.   

                A      - COMPLEX*16       array of DIMENSION ( LDA, n ).   
                            Before entry with  UPLO = 'U' or 'u', the leading n by n   
                            upper triangular part of the array A must contain the upper 
  
                            triangular part of the hermitian matrix and the strictly   
                            lower triangular part of A is not referenced.   
                            Before entry with UPLO = 'L' or 'l', the leading n by n   
                            lower triangular part of the array A must contain the lower 
  
                            triangular part of the hermitian matrix and the strictly   
                            upper triangular part of A is not referenced.   
                            Note that the imaginary parts of the diagonal elements need 
  
                            not be set and are assumed to be zero.   
                            Unchanged on exit.   

                LDA    - INTEGER.   
                            On entry, LDA specifies the first dimension of A as declared 
  
                            in the calling (sub) program. LDA must be at least   
                            max( 1, n ).   
                            Unchanged on exit.   

                X      - COMPLEX*16       array of dimension at least   
                            ( 1 + ( n - 1 )*abs( INCX ) ).   
                            Before entry, the incremented array X must contain the n   
                            element vector x.   
                            Unchanged on exit.   

                INCX   - INTEGER.   
                            On entry, INCX specifies the increment for the elements of   
                            X. INCX must not be zero.   
                            Unchanged on exit.   

                BETA   - COMPLEX*16      .   
                            On entry, BETA specifies the scalar beta. When BETA is   
                            supplied as zero then Y need not be set on input.   
                            Unchanged on exit.   

                Y      - COMPLEX*16       array of dimension at least   
                            ( 1 + ( n - 1 )*abs( INCY ) ).   
                            Before entry, the incremented array Y must contain the n   
                            element vector y. On exit, Y is overwritten by the updated   
                            vector y.   

                INCY   - INTEGER.   
                            On entry, INCY specifies the increment for the elements of   
                            Y. INCY must not be zero.   
                            Unchanged on exit.   


                Level 2 Blas routine.   

                -- Written on 22-October-1986.   
                    Jack Dongarra, Argonne National Lab.   
                    Jeremy Du Croz, Nag Central Office.   
                    Sven Hammarling, Nag Central Office.   
                    Richard Hanson, Sandia National Labs.   



                    Test the input parameters.   

    
                Parameter adjustments   
                    Function Body */
            #define X(I) x[(I)-1]
            #define Y(I) y[(I)-1]

            #define A(I,J) a[(I)-1 + ((J)-1)* ( *lda)]

                info = 0;
                if (! lsame_(uplo, "U") && ! lsame_(uplo, "L")) {
	            info = 1;
                } else if (*n < 0) {
	            info = 2;
                } else if (*lda < max(1,*n)) {
	            info = 5;
                } else if (*incx == 0) {
	            info = 7;
                } else if (*incy == 0) {
	            info = 10;
                }
                if (info != 0) {
	            xerbla_("ZHEMV ", &info);
	            return 0;
                }

            /*     Quick return if possible. */

                if (*n == 0 || alpha->r == 0. && alpha->i == 0. && (beta->r == 1. && 
	                beta->i == 0.)) {
	            return 0;
                }

            /*     Set up the start points in  X  and  Y. */

                if (*incx > 0) {
	            kx = 1;
                } else {
	            kx = 1 - (*n - 1) * *incx;
                }
                if (*incy > 0) {
	            ky = 1;
                } else {
	            ky = 1 - (*n - 1) * *incy;
                }

            /*     Start the operations. In this version the elements of A are   
                    accessed sequentially with one pass through the triangular part   
                    of A.   

                    First form  y := beta*y. */

                if (beta->r != 1. || beta->i != 0.) {
	            if (*incy == 1) {
	                if (beta->r == 0. && beta->i == 0.) {
		            i__1 = *n;
		            for (i = 1; i <= *n; ++i) {
		                i__2 = i;
		                Y(i).r = 0., Y(i).i = 0.;
            /* L10: */
		            }
	                } else {
		            i__1 = *n;
		            for (i = 1; i <= *n; ++i) {
		                i__2 = i;
		                i__3 = i;
		                z__1.r = beta->r * Y(i).r - beta->i * Y(i).i, 
			                z__1.i = beta->r * Y(i).i + beta->i * Y(i)
			                .r;
		                Y(i).r = z__1.r, Y(i).i = z__1.i;
            /* L20: */
		            }
	                }
	            } else {
	                iy = ky;
	                if (beta->r == 0. && beta->i == 0.) {
		            i__1 = *n;
		            for (i = 1; i <= *n; ++i) {
		                i__2 = iy;
		                Y(iy).r = 0., Y(iy).i = 0.;
		                iy += *incy;
            /* L30: */
		            }
	                } else {
		            i__1 = *n;
		            for (i = 1; i <= *n; ++i) {
		                i__2 = iy;
		                i__3 = iy;
		                z__1.r = beta->r * Y(iy).r - beta->i * Y(iy).i, 
			                z__1.i = beta->r * Y(iy).i + beta->i * Y(iy)
			                .r;
		                Y(iy).r = z__1.r, Y(iy).i = z__1.i;
		                iy += *incy;
            /* L40: */
		            }
	                }
	            }
                }
                if (alpha->r == 0. && alpha->i == 0.) {
	            return 0;
                }
                if (lsame_(uplo, "U")) {

            /*        Form  y  when A is stored in upper triangle. */

	            if (*incx == 1 && *incy == 1) {
	                i__1 = *n;
	                for (j = 1; j <= *n; ++j) {
		            i__2 = j;
		            z__1.r = alpha->r * X(j).r - alpha->i * X(j).i, z__1.i =
			                alpha->r * X(j).i + alpha->i * X(j).r;
		            temp1.r = z__1.r, temp1.i = z__1.i;
		            temp2.r = 0., temp2.i = 0.;
		            i__2 = j - 1;
		            for (i = 1; i <= j-1; ++i) {
		                i__3 = i;
		                i__4 = i;
		                i__5 = i + j * a_dim1;
		                z__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i, 
			                z__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
			                .r;
		                z__1.r = Y(i).r + z__2.r, z__1.i = Y(i).i + z__2.i;
		                Y(i).r = z__1.r, Y(i).i = z__1.i;
		                d_cnjg(&z__3, &A(i,j));
		                i__3 = i;
		                z__2.r = z__3.r * X(i).r - z__3.i * X(i).i, z__2.i =
			                    z__3.r * X(i).i + z__3.i * X(i).r;
		                z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
		                temp2.r = z__1.r, temp2.i = z__1.i;
            /* L50: */
		            }
		            i__2 = j;
		            i__3 = j;
		            i__4 = j + j * a_dim1;
		            d__1 = A(j,j).r;
		            z__3.r = d__1 * temp1.r, z__3.i = d__1 * temp1.i;
		            z__2.r = Y(j).r + z__3.r, z__2.i = Y(j).i + z__3.i;
		            z__4.r = alpha->r * temp2.r - alpha->i * temp2.i, z__4.i = 
			            alpha->r * temp2.i + alpha->i * temp2.r;
		            z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
		            Y(j).r = z__1.r, Y(j).i = z__1.i;
            /* L60: */
	                }
	            } else {
	                jx = kx;
	                jy = ky;
	                i__1 = *n;
	                for (j = 1; j <= *n; ++j) {
		            i__2 = jx;
		            z__1.r = alpha->r * X(jx).r - alpha->i * X(jx).i, z__1.i =
			                alpha->r * X(jx).i + alpha->i * X(jx).r;
		            temp1.r = z__1.r, temp1.i = z__1.i;
		            temp2.r = 0., temp2.i = 0.;
		            ix = kx;
		            iy = ky;
		            i__2 = j - 1;
		            for (i = 1; i <= j-1; ++i) {
		                i__3 = iy;
		                i__4 = iy;
		                i__5 = i + j * a_dim1;
		                z__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i, 
			                z__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
			                .r;
		                z__1.r = Y(iy).r + z__2.r, z__1.i = Y(iy).i + z__2.i;
		                Y(iy).r = z__1.r, Y(iy).i = z__1.i;
		                d_cnjg(&z__3, &A(i,j));
		                i__3 = ix;
		                z__2.r = z__3.r * X(ix).r - z__3.i * X(ix).i, z__2.i =
			                    z__3.r * X(ix).i + z__3.i * X(ix).r;
		                z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
		                temp2.r = z__1.r, temp2.i = z__1.i;
		                ix += *incx;
		                iy += *incy;
            /* L70: */
		            }
		            i__2 = jy;
		            i__3 = jy;
		            i__4 = j + j * a_dim1;
		            d__1 = A(j,j).r;
		            z__3.r = d__1 * temp1.r, z__3.i = d__1 * temp1.i;
		            z__2.r = Y(jy).r + z__3.r, z__2.i = Y(jy).i + z__3.i;
		            z__4.r = alpha->r * temp2.r - alpha->i * temp2.i, z__4.i = 
			            alpha->r * temp2.i + alpha->i * temp2.r;
		            z__1.r = z__2.r + z__4.r, z__1.i = z__2.i + z__4.i;
		            Y(jy).r = z__1.r, Y(jy).i = z__1.i;
		            jx += *incx;
		            jy += *incy;
            /* L80: */
	                }
	            }
                } else {

            /*        Form  y  when A is stored in lower triangle. */

	            if (*incx == 1 && *incy == 1) {
	                i__1 = *n;
	                for (j = 1; j <= *n; ++j) {
		            i__2 = j;
		            z__1.r = alpha->r * X(j).r - alpha->i * X(j).i, z__1.i =
			                alpha->r * X(j).i + alpha->i * X(j).r;
		            temp1.r = z__1.r, temp1.i = z__1.i;
		            temp2.r = 0., temp2.i = 0.;
		            i__2 = j;
		            i__3 = j;
		            i__4 = j + j * a_dim1;
		            d__1 = A(j,j).r;
		            z__2.r = d__1 * temp1.r, z__2.i = d__1 * temp1.i;
		            z__1.r = Y(j).r + z__2.r, z__1.i = Y(j).i + z__2.i;
		            Y(j).r = z__1.r, Y(j).i = z__1.i;
		            i__2 = *n;
		            for (i = j + 1; i <= *n; ++i) {
		                i__3 = i;
		                i__4 = i;
		                i__5 = i + j * a_dim1;
		                z__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i, 
			                z__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
			                .r;
		                z__1.r = Y(i).r + z__2.r, z__1.i = Y(i).i + z__2.i;
		                Y(i).r = z__1.r, Y(i).i = z__1.i;
		                d_cnjg(&z__3, &A(i,j));
		                i__3 = i;
		                z__2.r = z__3.r * X(i).r - z__3.i * X(i).i, z__2.i =
			                    z__3.r * X(i).i + z__3.i * X(i).r;
		                z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
		                temp2.r = z__1.r, temp2.i = z__1.i;
            /* L90: */
		            }
		            i__2 = j;
		            i__3 = j;
		            z__2.r = alpha->r * temp2.r - alpha->i * temp2.i, z__2.i = 
			            alpha->r * temp2.i + alpha->i * temp2.r;
		            z__1.r = Y(j).r + z__2.r, z__1.i = Y(j).i + z__2.i;
		            Y(j).r = z__1.r, Y(j).i = z__1.i;
            /* L100: */
	                }
	            } else {
	                jx = kx;
	                jy = ky;
	                i__1 = *n;
	                for (j = 1; j <= *n; ++j) {
		            i__2 = jx;
		            z__1.r = alpha->r * X(jx).r - alpha->i * X(jx).i, z__1.i =
			                alpha->r * X(jx).i + alpha->i * X(jx).r;
		            temp1.r = z__1.r, temp1.i = z__1.i;
		            temp2.r = 0., temp2.i = 0.;
		            i__2 = jy;
		            i__3 = jy;
		            i__4 = j + j * a_dim1;
		            d__1 = A(j,j).r;
		            z__2.r = d__1 * temp1.r, z__2.i = d__1 * temp1.i;
		            z__1.r = Y(jy).r + z__2.r, z__1.i = Y(jy).i + z__2.i;
		            Y(jy).r = z__1.r, Y(jy).i = z__1.i;
		            ix = jx;
		            iy = jy;
		            i__2 = *n;
		            for (i = j + 1; i <= *n; ++i) {
		                ix += *incx;
		                iy += *incy;
		                i__3 = iy;
		                i__4 = iy;
		                i__5 = i + j * a_dim1;
		                z__2.r = temp1.r * A(i,j).r - temp1.i * A(i,j).i, 
			                z__2.i = temp1.r * A(i,j).i + temp1.i * A(i,j)
			                .r;
		                z__1.r = Y(iy).r + z__2.r, z__1.i = Y(iy).i + z__2.i;
		                Y(iy).r = z__1.r, Y(iy).i = z__1.i;
		                d_cnjg(&z__3, &A(i,j));
		                i__3 = ix;
		                z__2.r = z__3.r * X(ix).r - z__3.i * X(ix).i, z__2.i =
			                    z__3.r * X(ix).i + z__3.i * X(ix).r;
		                z__1.r = temp2.r + z__2.r, z__1.i = temp2.i + z__2.i;
		                temp2.r = z__1.r, temp2.i = z__1.i;
            /* L110: */
		            }
		            i__2 = jy;
		            i__3 = jy;
		            z__2.r = alpha->r * temp2.r - alpha->i * temp2.i, z__2.i = 
			            alpha->r * temp2.i + alpha->i * temp2.r;
		            z__1.r = Y(jy).r + z__2.r, z__1.i = Y(jy).i + z__2.i;
		            Y(jy).r = z__1.r, Y(jy).i = z__1.i;
		            jx += *incx;
		            jy += *incy;
            /* L120: */
	                }
	            }
                }

                return 0;

            /*     End of ZHEMV . */

            } /* zhemv_ */

        };
    };
};